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Questions  >>  CBSE XI  >>  Math  >>  Conic Sections
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If $e$ is the eccentricity of the ellipse $\large\frac{x^2}{a^2}+\frac{y^2}{b^2}\normalsize =1\;(a < b)$,then

$\begin{array}{1 1}b^2=a^2(1-e^2)\\a^2=b^2(1-e^2)\\a^2=b^2(e^2-1)\\b^2=a^2(e^2-1)\end{array} $

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